229629648568320 has 6912 divisors, whose sum is σ = 1187178118963200. Its totient is φ = 39464038563840.

The previous prime is 229629648568283. The next prime is 229629648568337. The reversal of 229629648568320 is 23865846926922.

It is a happy number.

229629648568320 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 29 + 6 + 4 + 8 + 568 + 32 + 0 = 666.

It is a super-2 number, since 2×229629648568320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2580108410836 + ... + 2580108410924.

It is an arithmetic number, because the mean of its divisors is an integer number (171756093600).

Almost surely, 2^{229629648568320} is an apocalyptic number.

229629648568320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229629648568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593589059481600).

229629648568320 is an abundant number, since it is smaller than the sum of its proper divisors (957548470394880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229629648568320 is a wasteful number, since it uses less digits than its factorization.

229629648568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 229629648568320 in words is "two hundred twenty-nine trillion, six hundred twenty-nine billion, six hundred forty-eight million, five hundred sixty-eight thousand, three hundred twenty".